Aimee has 2 sisters in her family. She thinks the probability of a family having 3 children who are all girls is ¼ because there can be 0 girls, 1 girl, 2 girls or 3 girls.
Aimee designs a simulation to test her prediction. She flips a coin 3 times in a row and records the results. She uses heads to represent a girl and tails to represent a boy. After 10 trials of this simulation, Aimee gets the following results.
1 2 3 4 5 6 7 8 9 10
BBB GBB GGG GGB BBG GGB BGG BGB BBG GBB
Does ¼ seem like a reasonable probability of having 3 girls? Use a tree diagram to model and support your thinking.
Estimate the probability of having 3 girls using the results from Aimee’s simulation.